Non-linear electrostatic waves in pair-ion plasmas - National Centre ...
Non-linear electrostatic waves in pair-ion plasmas - National Centre ... Non-linear electrostatic waves in pair-ion plasmas - National Centre ...
Double layer in Pair-ion Plasmas (contd.)The Sagdeev potential satisfying the DLs boundary conditions as follows,V ( ϕB ϕ4221) = ϕ1( ϕm−1)(18)Using Eq.(18), the solution of energy integral equation (15) can be written as,ϕ ⎡ ⎧⎫⎤m- Bϕ1 = ⎢1− tan h⎨ϕm( η −Uτ) ⎬⎥2 ⎢⎣⎩ 8⎭⎥⎦(19)where amplitude and width of the DLs are defined as,ϕm=−2 Q3 B- B28Width = where B 0, compressive DLs and for Q
Double layer in Pair-ion Plasmas (contd.)Numerical solutions of rarefactive DLs (μ>1) in pair-ion plasmas0.20.1V0-0.1-0.2- 0.4 -0.2 0 0.2 0.4F0-0.1F-0.2-0.3-0.4-3 -2 -1 0 1 2 3x(solid curve) and(dashed curve)25
- Page 1 and 2: Nonlinear electrostatic structures
- Page 3 and 4: 1. Soliton‣ Soliton is a nonlinea
- Page 5 and 6: Soliton in Plasmas (contd.)Linear w
- Page 7 and 8: 2. Brief Introduction of pair-ion P
- Page 9 and 10: Production of pair-ion (fullerene)
- Page 11 and 12: Electrostatic Waves in pair-ion Pla
- Page 13 and 14: Nonlinear Electrostatic Waves in Pa
- Page 15 and 16: Nonlinear Electrostatic Waves in pa
- Page 17 and 18: Nonlinear Electrostatic Waves in pa
- Page 19 and 20: Nonlinear Electrostatic Waves in Pa
- Page 21 and 22: Double Layer in Plasmas5. Double La
- Page 23: Double layer in Pair-ion Plasmas (c
- Page 27 and 28: 6. Dissipative shocks and solitons
- Page 29 and 30: Dissipative shocks and solitons in
- Page 31 and 32: Dissipative shocks and solitons in
- Page 33 and 34: 7. Conclusion• Linear and nonline
- Page 35: Thank You35
Double layer <strong>in</strong> Pair-<strong>ion</strong> Plasmas (contd.)The Sagdeev potential satisfy<strong>in</strong>g the DLs boundary condit<strong>ion</strong>s as follows,V ( ϕB ϕ4221) = ϕ1( ϕm−1)(18)Us<strong>in</strong>g Eq.(18), the solut<strong>ion</strong> of energy <strong>in</strong>tegral equat<strong>ion</strong> (15) can be written as,ϕ ⎡ ⎧⎫⎤m- Bϕ1 = ⎢1− tan h⎨ϕm( η −Uτ) ⎬⎥2 ⎢⎣⎩ 8⎭⎥⎦(19)where amplitude and width of the DLs are def<strong>in</strong>ed as,ϕm=−2 Q3 B- B28Width = where B 0, compressive DLs and for Q
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